Finding the Third Proportional to 6,214.92 and 13,510.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,214.92 : 13,510.55 = 13,510.55 : x
2. Step 2: Convert to fraction form
   6,214.92/13,510.55 = 13,510.55/x
3. Step 3: Cross multiply
   6,214.92x = 13,510.55 × 13,510.55
4. Step 4: Simplify right side
   6,214.92x = 182,534,876.86
5. Step 5: Solve for x
   x = 182,534,876.86/6,214.92
6. Step 6: Final answer
   x = 29,370.42